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The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 2x2 + x − 3 and g(x) = x + 2.

Find (f • g)(x).


A) x2 − 4x + 3


B) 2x3 − x2 + 4x − 3


C) 2x3 − 5x2 + 6


D) 2x3 + 5x2 − x − 6

Respuesta :

Answer:

D

Step-by-step explanation:

multiplying f(x) × g(x) = (2x² + x - 3)(x + 2)

multiply each term in the first factor by each term in the second factor

= x(2x² + x - 3) + 2(2x² + x - 3) ← distributing gives

= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms

= 2x³ + 5x² - x - 6 → D


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